Answer:
9000
Step-by-step explanation:
This is written in scientific notation. When you have a positive exponent (x³), You move the decimal point to the right as many times as the exponent says. Since the exponent is +3, move the decimal to the right 3 spaces:
\(9.0(0)\\\\90.0(1)\\\\900.0(2)\\\\9000.0(3)\)
So:
\(9*10^3=9000\)
:Done
*Magnifying means that the image will be bigger. So, the new number has to be greater than 9. Since 9000>9, this is true.
This shows a number line. Which point is located at 90 ?
Answer:
incomplete question bru
Assume that when adults with smartphones are randomly selected 42% use them in meetings or classes. If 30 adult smartphones users are randomly selected find the probability that exactly 18 of them use their smartphones in meetings or classes
0.0095 is the probability that exactly 18 of them use their smartphones in meetings or classes.
How does probability explain work?
In a random experiment, probability is the indicator of how likely an occurrence is to take place. A number between 0 and 1 is used to quantify probability, with 1 roughly corresponding to certainty and 0 roughly indicating impossibility. The likelihood that an event will occur increases with its probability.Given that ,
p = 0.42
1 - p = 1 - 0.42 = 0.58
n = 30
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 19 ) = (30 C 19) * (0.42)19 * (0.58)11
= 0.009481
Probability = 0.0095
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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Completa los términos de la operación.
Sa² +
+ 7b² - 30
-21a²
+
-
Sab
ab
366²
Bab + 2b² + 15
-
-
The expression 7(8b² +9b+6) - (-7b² +3b-9) simplifies to 63b² + 60b + 33.
How to solve the expressionFirst, let's simplify the expression by distributing the 7 to the terms inside the parentheses:
7(8b² +9b+6) = 56b² + 63b + 42
Next, let's simplify the expression -(-7b² +3b-9) by distributing the negative sign:
-(-7b² +3b-9) = 7b² - 3b + 9
Now we can substitute these simplified expressions into the original expression:
7(8b² +9b+6) - (-7b² +3b-9) = (56b² + 63b + 42) - (7b² - 3b + 9)
Simplifying further by distributing the negative sign inside the second set of parentheses, we get:
56b² + 63b + 42 + 7b² - 3b - 9
Combining like terms, we get:
63b² + 60b + 33
Therefore, 7(8b² +9b+6) - (-7b² +3b-9) simplifies to 63b² + 60b + 33.
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Complete question
7(8b² +9b+6) minus (-7b² +3b-9)
z varies directly as √√x and inversely as y. If: = 179 when x=25 and y= 7, find zifx = 64 and y = 4. (Round off your answer to the nearest hundredth.)
z=
We know that z varies directly as √√x and inversely as y, which can be written as:
z = k(√√x)/y
where k is the constant of proportionality.
To find the value of k, we can use the values given when x = 25 and y = 7:
179 = k(√√25)/7
179 = k(5/7)
k = (179*7)/5
k = 250.6
Now we can use this value of k to find z when x = 64 and y = 4:
z = 250.6(√√64)/4
z = 250.6(2)/4
z = 125.3
Therefore, z ≈ 125.3 when x = 64 and y = 4.
Prove that S is a group. Give an example of an infinite semigroup in which the cancellation laws hold, but which is not a group?
Since S is finite, it follows that there must exist distinct elements x and y in S Without loss of generality, we can assume that x is not equal to y. Therefore, every element in S has an inverse, and S is a group.
what is distinct elements ?
Distinct elements refer to the unique or different items in a set, collection, or sequence. In other words, no element in the set appears more than once.
what is collection ?
A collection is a group of items or objects that are considered together. These items can be anything from physical objects to data elements, and they are typically grouped together for a specific purpose. Collections can be finite or infinite in size, and they can be ordered or unordered.
In the given question,
To prove that S is a group, we need to show that every element in S has an inverse.
Let a be an element in S. Consider the set Sa = {ax | x is an element in S}. Since S is finite, Sa is also finite. Moreover, since S satisfies the cancellation laws, the elements in Sa are all distinct. To see why, suppose there exist distinct elements x and y in S such that ax = ay. Then, by cancellation, we have x = y, which contradicts our assumption that x and y are distinct. Hence, the elements in Sa are all distinct.
Since S is finite, it follows that there must exist distinct elements x and y in S such that ax = ay. Without loss of generality, we can assume that x is not equal to y. Then, by cancellation, we have a = yx^-1. Therefore, every element in S has an inverse, and S is a group.
Consider the semigroup (N, +), where N is the set of non-negative integers and + denotes addition. This semigroup satisfies the cancellation laws since, for any non-negative integers a, b, and c, if a + b = a + c, then b = c. However, not every element in N has an inverse under addition, since there is no non-negative integer x such that 2 + x = 0. Therefore, (N, +) is not a group.
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4. Provide an appropriate response. Round to the nearest hundredth.
(1 point)
In a certain town, 40% of adults have a college degree. If four adults from the town are
selected at random, the probabilities that 0, 1, 2, 3, or 4 of them will have college degrees are
provided in the accompanying table. Find the standard deviation for the probability
distribution
Х P(x)
0 0.1296
1 0.3456
2 0.3456
3 0.1536
4 0.0256
According to the discrete distribution given, the standard deviation is of: 0.98.
The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability, hence:
\(E(X) = 0.1296(0) + 0.3456(1) + 0.3456(2) + 0.1536(3) + 0.0256(4) = 1.6\)
The standard deviation is the square root of the sum of the multiplication of each probability and the difference squared between the observation and the mean, hence:
\(\sqrt{V(X)} = \sqrt{0.1296(0-1.6)^2 + \cdots + 0.1536(3-1.6)^2 + 0.0256(4-1.6)^2} = 0.98\)
The standard deviation is of 0.98.
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Ruben decides to leave a 24% tip after eating dinner at Sun Bistro. If the bill is $23.35, how much should he pay? Round to the nearest cent.
Answer:
$3.50
Step-by-step explanation:
help please very important
81 is what percent of 60
Answer: 135%
Step-by-step explanation:
percents are parts out of the whole
In this case they want to know 81 is what part of 60. 81 is bigger than 60 so you are going to get something bigger than 100%
81/60
= 1.35
= 135% move the decimal point over 2 times or multiply by 100
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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someone plzz help me plzzzzzzz
Answer:
5
Step-by-step explanation:
Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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In professor Johnson's literature class there are 267 students. At a random check Prof.Johnson notices that 22 students among 59 students did not complete their essays.Can you estimate how many students in Prof. Johnson's class did not finish theiressay?Question 71 pts
We have a class of a total of 267 students.
The professor has a sample of 59 students, where 22 of them did not complete their essays.
This equals a proportion of:
\(p=\frac{22}{59}\approx0.373\)If this sample is representative of the class, we can use this proportion to estimate how many students did not complete the essay.
To do that we multiply the total number of students by the proportion we have just calculated:
\(X=N\cdot p=267\cdot0.373\approx99.59\approx100\)Answer: it can be estimated that approximately 100 students did not finish their essay.
The circumference of a cylinder is 20 inches and the volume is 600 cubic inches. Calculate the height.
Answer:
h = 18.88 inches
Step-by-step explanation:
Given that,
The circumference of a cylinder is 20 inches
The volume of the cylinder, V = 600 cubic inches
We need to find the height of the cylinder. We know that the volume of a cylinder is given by :
\(V=\pi r^2h\)
r is radius
We know that,
circumference = 2πr
\(r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}\)
So,
\(h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}\)
So, the height of the cylinder is 18.88 inches.
A metric ton is 1,000 kg, and a British ton is 2,000 lb. Which has the greater weight?
By how much?
Answer:
A metric ton weights more because a kg is equal to about 2.204 lbs.
1000 x 2.204 = 2204 lbs > 2000 lbs
Step-by-step explanation:
Hope this helps! Have a nice day!
The greater weight is 1000 metric ton and it is greater than a British ton by 205 lb
A metric ton = 1000 kg
British ton = 2000 lb
Converting both measures to the same unit :
1 kg = 2.205 lbA metric ton to pounds = (1000 × 2.205) = 2205 lb
Therefore,
A metric ton = 2205 lb A British ton = 2000 lbComparing the weight :
2205 > 200020002205 - 2000 = 205 lbTherefore, the greater weight is 1000 metric ton and it is greater than a British ton by 205 lb
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In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
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After attending a major league baseball game, the patrons often purchase souvenirs. If a family purchases
4 t-shirts, a cap and 1 stuffed animal their total is $135. A couple buys 2 t-shirts, a cap and 3 stuffed animals
for their nieces and spends $115. Another couple buys 2 t-shirts, a cap and 1 stuffed animal and their total is
$85. What is the cost of each item?
The cost of a t-shirt is $25, the cap costs $20 and the stuffed animal costs $15
Let t-shirts be represented by x, the cap is represented by y and stuffed animals are represented by z
Items purchased by family:
4 t-shirts + 1 cap + 1 stuffed animal
The total cost of the items was = $135
Equation: 4x+y+z=135--------(1)
Items purchased by couple 1:
2 t-shirts + 1 cap + 3 stuffed animals
The total cost of the items was = $115
Equation: 2x+y+3z=115------(2)
Items purchased by couple 2:
2 t-shirts + 1 cap + 1 stuffed animals = $85
Equation: 2x+y+z=85------(3)
Subtracting equation (3) from (2) we get:
2z = 30
z = 15
Substituting the value of z=15 in equations (1) and (3) we get the following equations:
4x+y+15=135
4x+y=120------(4)
And, 2x+y+15=85
2x+y=70-------(5)
Multiplying equation (5) with 2 and subtracting equation (4) we get:
4x+2y=140
4x+y=120
y = 20
So, x = 25
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s congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.
Given:
Consider angle S is congruent to angle U.
The angle S is (5x-11) degrees and angle U is (4x+9) degrees,
To find:
The value of x.
Solution:
Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.
\(m\angle S=m\angle U\)
Put the given values.
\(5x-11=4x+9\)
Subtract 4x from both sides.
\(5x-4x-11=9\)
Add 11 on both sides.
\(x=9+11\)
\(x=20\)
Therefore, the value of x is 20.
PLEASE PUT ANSWER IN COMMENTS, MY SCREEN IS BROKEN, I NEED HELP FOR BOTH OF THESE QUESTIONS
6) The solution to the fraction problem ¹⁵/₁₆ - ³/₄ is; ³/₁₆
7) The solution to the fraction problem 10¹¹/₁₂ + 7¹/₄ is; 18¹/₆
How to solve Fraction Problems?There are different forms of fractions such as proper fraction, improper fraction and then mixed fraction.
6) We want to solve the fraction expression given as;
¹⁵/₁₆ - ³/₄
Since 16 is the lowest common multiple of the denominators, we factorize it out to get;
¹/₁₆(15 - 4(3))
Solving the bracket gives;
¹/₁₆(3)
= ³/₁₆
7) We want to solve the fraction expression given as;
10¹¹/₁₂ + 7¹/₄
Converting both to improper fraction gives us;
¹³¹/₁₂ + ²⁹/₄
Since 12 is the lowest common multiple of the denominators, we factorize it out to get;
¹/₁₂(131 + 3(29))
Solving the bracket gives;
¹/₁₂(218) This will reduce to; 109/6
= 18¹/₆
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the barge b is pulled by two tugboats a and c. at a given instant, the tension in cable ab is 4500 lb and the tension in cable bc is 2000 lb. determine by trigonometry the magnitude and direction of the resultant of the two forces applied at b at that instant.
To determine the magnitude and direction of the resultant force applied at b, we can use vector addition of the tensions in cables AB and BC. Let's assume that the positive x-direction is to the right, and the positive y-direction is upwards.
We can represent the tension in cable AB as a vector T1 = 4500 lb in the direction of AB, and the tension in cable BC as a vector T2 = 2000 lb in the direction of BC.
The magnitude of the resultant force applied at b is given by:
R = √(T1^2 + T2^2) = √(4500^2 + 2000^2) = 5000 lb
The direction of the resultant force can be found using the arctangent function:
θ = tan^-1 (T2/T1) = tan^-1 (2000/4500) = approximately 39.2 degrees
Therefore, the magnitude and direction of the resultant force applied at b are 5000 lb and 39.2 degrees, respectively.
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A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 9 characters long, and that each character is either a lowercase letter, (a, b, c, etc.), an uppercase letter (A, B, C, etc.) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction, not a percentage.
The probability that the hacker guesses the password on their first try is extremely low.
What is the probability that the hacker guesses the password on his first try?
There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are \(62^{9}\) possible passwords.
The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:
Probability = 1 / (\(62^{9}\))
Using a calculator, this can be simplified to approximately 1.2 x \(10^{-16}\)
Therefore, the probability that the hacker guesses the password on their first try is extremely low.
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in triangle QRS, the measure of angle RSQ is 48.2 degrees, and the SQR is 75 degrees. what is the QRS?
The measure of angle QRS in triangle QRS is found as 56.8 degrees.
What is angle?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that the sum of the angles in a triangle is 180 degrees.
In triangle QRS,
angle RSQ = 48.2 degrees
angle SQR = 75 degrees.
48.2 + 75 + QRS = 180 (sum of angles in a triangle)
123.2 + QRS = 180
QRS = 180 - 123.2
QRS = 56.8
In conclusion, a triangle is described as a polygon with three edges and three vertices.
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trigonometry question
worth 100 points!
desperately need help
Answer:
Height is 40√2 m or 56.57 m
Explanation:
Use Pythagoras theorem: a² + b² = c²
where 'a' and 'b' are the legs and 'c' is the hypotenuse
Here given:
a = 20 meterb = heightc = 60 meterSubstitute values:
(20)² + (h)² = 60²
400 + h² = 3600
h² = 3600 - 400
h² = 3200
h = √3200
h = 40√2
h = 56.6 meter
You spin each spinner and find the sum. How many different sums are possible?
these are the spinners:
The different sums are possible are 18.
As, the number of different sums possible is given by the equation:
Number of different sums = n x m
In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.
So, the different sums are possible
= 2 x 3 x 3
= 18
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How do I explain how my number model of 15-(7+4)=4 to the story of Sean bought 15 pairs at the farmers market to share with his friends he gave seven pairs away on Monday and four on Tuesday how many pairs does Sean have left to share
the number model 15-(7+4)=4 accurately represents the story of Sean buying 15 pairs at the farmers market to share with his friends, giving away 7 pairs on Monday and 4 pairs on Tuesday, and having 4 pairs left to share.
How to explain?
To explain how the number model 15-(7+4)=4 relates to the story of Sean, we can use the information provided in the story to create the equation.
The story tells us that Sean bought 15 pairs of something (let's assume they are pairs of fruits or vegetables) to share with his friends. He then gave away 7 pairs on Monday and 4 pairs on Tuesday. The question asks how many pairs Sean has left to share.
We can represent this situation using subtraction, where the starting quantity is 15 and we subtract the number of pairs Sean gave away on Monday and Tuesday. Therefore, the number model would be:
15 - (7 + 4) = ?
The parentheses indicate that we need to perform the addition first, which gives us:
15 - 11 = ?
Now we can perform the subtraction, which gives us:
4 = ?
This means that Sean has 4 pairs of fruits or vegetables left to share with his friends after giving away 7 pairs on Monday and 4 pairs on Tuesday.
Therefore, the number model 15-(7+4)=4 accurately represents the story of Sean buying 15 pairs at the farmers market to share with his friends, giving away 7 pairs on Monday and 4 pairs on Tuesday, and having 4 pairs left to share.
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Hello! Can someone please help me out I would appreciate it a lot thank you :) look in the photo. I’ll give brainly
The radius is the distance from the center to a point on a circle.
The diameter is twice the radius.
1. 3 yd, 6 yd
2. 46 in, 92 in
3. 23 ft, 46 ft
Solve and graph 8(p+3)>2(4p-1)